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Finding the Fourth Proportional to 303.36, 416.37 and 269.88

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Solution

The fourth proportional to 303.36, 416.37 and 269.88 is: 370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.36 : 416.37 = 269.88 : x
  2. Step 2: Convert to fraction form
    303.36/416.37 = 269.88/x
  3. Step 3: Cross multiply
    303.36x = 416.37 × 269.88
  4. Step 4: Simplify right side
    303.36x = 112,369.94
  5. Step 5: Solve for x
    x = 112,369.94/303.36
  6. Step 6: Final answer
    x = 370.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.